SOLUTION: Solve the system by elimination. -4x-5y-z=18 -2x-5y-2z=12 -2x+5y+2z=4

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Question 1023814: Solve the system by elimination.
-4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system by elimination.
-4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4
-------------
Pick a variable to eliminate 1st.
All y terms have the same coefficient 5:
---
-4x-5y-z=18
-2x-5y-2z=12
------------------ Subtract
-2x + z = 6 Eqn A
---
-2x-5y-2z=12
-2x+5y+2z=4
--------------------- Add
-4x = 16
--> x = -4 ************
---
-2x + z = 6 Eqn A
--> z = -2 ************
---
-2x+5y+2z=4
--> y = 0 *************
====================
(-4,0,-2)